Pith Number

pith:LFLLYRQ3

pith:2010:LFLLYRQ333XJVEEVECW2WHBC5J

not attested not anchored not stored refs pending

Determination of division algebras with 243 elements

El\'ias F. Combarro, I.F. R\'ua, J. Ranilla

arxiv:1010.0228 v1 · 2010-10-01 · math.RA · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LFLLYRQ333XJVEEVECW2WHBC5J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:40:00.029359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5956bc461bdeee9a909520adab1c22ea46618e9f1a02803cad80eb32ce9b11cf

Aliases

arxiv: 1010.0228 · arxiv_version: 1010.0228v1 · doi: 10.48550/arxiv.1010.0228 · pith_short_12: LFLLYRQ333XJ · pith_short_16: LFLLYRQ333XJVEEV · pith_short_8: LFLLYRQ3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LFLLYRQ333XJVEEVECW2WHBC5J \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5956bc461bdeee9a909520adab1c22ea46618e9f1a02803cad80eb32ce9b11cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895643b52e5837ede852aff74d2d8f6cc6246e212d8d6bd4b27dde9736879103",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-01T18:15:59Z",
    "title_canon_sha256": "e0c7420f643e9ee228a8694f8f5e5d67af4a48ee20910ddb953b55bdd6218d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0228",
    "kind": "arxiv",
    "version": 1
  }
}